The name Andromeda is a girl's name of Greek origin meaning "advising like a man". Andromeda and is often added to lists like Badass Princess Names and discussed in our forums with posts like "Picky Parents BNG".
From the experts:
One of the stellar examples of unique names from mythological, Andromeda was the beautiful daughter of Cassiopeia who, like her mother, literally became a star--the constellation that bears her name. Andromeda makes a dramatic and adventurous choice in a time when four-syllable mythological names are gradually making their way into the mainstream.
Andromeda Tonks (nee Black), is a Harry Potter character
Cousin name Andromache belonged to the tragic wife of the Trojan Hector, appeared in Shakespeare's Troilus and Cressida and was the subject of plays by Euripedes and Racine.